Atomistic simulations of adiabatic coherent electron transport in triple donor systems

Rajib Rahman, Seung H. Park, Jared H. Cole, Andrew D. Greentree, Richard P. Muller, Gerhard Klimeck, and Lloyd C. L. Hollenberg
Phys. Rev. B 80, 035302 – Published 7 July 2009

Abstract

A solid-state analog of stimulated Raman adiabatic passage can be implemented in a triple-well solid-state system to coherently transport an electron across the wells with exponentially suppressed occupation in the central well at any point of time. Termed coherent-tunneling adiabatic passage (CTAP), this method provides a robust way to transfer quantum information encoded in the electronic spin across a chain of quantum dots or donors. Using large-scale atomistic tight-binding simulations involving over 3.5×106 atoms, we verify the existence of a CTAP pathway in a realistic solid-state system: gated triple donors in silicon. Realistic gate profiles from commercial tools were combined with tight-binding methods to simulate gate control of the donor to donor tunnel barriers in the presence of crosstalk. As CTAP is an adiabatic protocol, it can be analyzed by solving the time-independent problem at various stages of the pulse justifying the use of time-independent tight-binding methods to this problem. This work also involves the first atomistic treatment to translate the three-state-based quantum-optics type of modeling into a solid-state description beyond the ideal localization assumption. Our results show that a three-donor CTAP transfer, with interdonor spacing of 15 nm can occur on time scales greater than 23 ps, well within experimentally accessible regimes. The method not only provides a tool to guide future CTAP experiments but also illuminates the possibility of system engineering to enhance control and transfer times.

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  • Received 5 March 2009

DOI:https://doi.org/10.1103/PhysRevB.80.035302

©2009 American Physical Society

Authors & Affiliations

Rajib Rahman1,*, Seung H. Park1, Jared H. Cole2,3, Andrew D. Greentree3, Richard P. Muller4, Gerhard Klimeck1,5, and Lloyd C. L. Hollenberg3,†

  • 1Network for Computational Nanotechnology, Purdue University, West Lafayette, Indiana 47907, USA
  • 2DFG–Center for Functional Nanostructures (CFN) and Institute für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 3Center for Quantum Computer Technology, School of Physics, University of Melbourne, Victoria 3010, Australia
  • 4Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
  • 5Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA

  • *rrahman@purdue.edu
  • lloydch@unimelb.edu.au

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Issue

Vol. 80, Iss. 3 — 15 July 2009

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